Converting 82.3712 to a Fraction
Step-by-step explanation of how to convert 82.3712 to a fraction
Result
82.3712 =
51482
625
Mixed number:
82
232
625
Step 1: Identify the number of decimal places
The decimal 82.3712 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
82.3712 × 10000 = 823712
Step 3: Write as a fraction
82.3712 =
823712
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 823712 and 10000.
GCD(823712, 10000) = 16
Divide both the numerator and denominator by the GCD:
823712
10000
=
823712 ÷ 16
10000 ÷ 16
=
51482
625
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